Remarks on Hamiltonian structures of the KP hierarchy and \(W_{\text{KP}}^{(q)}\) algebra
type: Item
instance of: scholarly article
title: Remarks on Hamiltonian structures of the KP hierarchy and \(W_{\text{KP}}^{(q)}\) algebra
zbMATH Open document ID: 0844.35114
DOI: 10.1007/BF00403249
author: Cheng Yi
published in: Letters in Mathematical Physics
publication date: 1996-08-29T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B66
zbMATH DE Number: 843626
zbMATH Keywords: KP hierarchy
zbMATH Keywords: Hamiltonian structures
zbMATH Keywords: Miura map
zbMATH Keywords: pseudodifferential operators
MaRDI profile type: Publication
cites work: Modifying Lax equations and the second Hamiltonian structure
cites work: Hamiltonian structure of Sato's hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group
cites work: A one-parameter family of Hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear \(W_{\text{KP}}\) algebra
cites work: The algebra of differential operators on the circle and \(W^{(q)}_{\text{KP}}\)
cites work: Free-field realization of the \(W_{KP}^{(N)}\) algebra
cites work: Q4003380
cites work: Many boson realizations of universal nonlinear \(W_ \infty\)-algebras, modified KP hierarchies, and graded Lie algebras
full work available at URL: https://doi.org/10.1007/bf00403249
OpenAlex ID: W2009404991
description: scientific article; zbMATH DE number 843626